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Finding the Fourth Proportional to 643,678.40, 965,517.60 and 408,065.60

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Solution

The fourth proportional to 643,678.40, 965,517.60 and 408,065.60 is: 612,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,678.40 : 965,517.60 = 408,065.60 : x
  2. Step 2: Convert to fraction form
    643,678.40/965,517.60 = 408,065.60/x
  3. Step 3: Cross multiply
    643,678.40x = 965,517.60 × 408,065.60
  4. Step 4: Simplify right side
    643,678.40x = 393,994,518,754.56
  5. Step 5: Solve for x
    x = 393,994,518,754.56/643,678.40
  6. Step 6: Final answer
    x = 612,098.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.